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Finding the Fourth Proportional to 14,482.38, 19,990.83 and 8,814.54

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Solution

The fourth proportional to 14,482.38, 19,990.83 and 8,814.54 is: 12,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.38 : 19,990.83 = 8,814.54 : x
  2. Step 2: Convert to fraction form
    14,482.38/19,990.83 = 8,814.54/x
  3. Step 3: Cross multiply
    14,482.38x = 19,990.83 × 8,814.54
  4. Step 4: Simplify right side
    14,482.38x = 176,209,970.67
  5. Step 5: Solve for x
    x = 176,209,970.67/14,482.38
  6. Step 6: Final answer
    x = 12,167.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.